Measurement-induced criticality in extended and long-range unitary circuits
Shraddha Sharma, Xhek Turkeshi, Rosario Fazio, Marcello Dalmonte
SciPost Phys. Core 5, 023 (2022) · published 21 April 2022
- doi: 10.21468/SciPostPhysCore.5.2.023
- Submissions/Reports
Abstract
We explore the dynamical phases of unitary Clifford circuits with variable-range interactions, coupled to a monitoring environment. We investigate two classes of models, distinguished by the action of the unitary gates, which either are organized in clusters of finite-range two-body gates, or are pair-wise interactions randomly distributed throughout the system with a power-law distribution. We find the range of the interactions plays a key role in characterizing both phases and their measurement-induced transitions. For the cluster unitary gates we find a transition between a phase with volume-law scaling of the entanglement entropy and a phase with area-law entanglement entropy. Our results indicate that the universality class of the phase transition is compatible to that of short range hybrid Clifford circuits. Oppositely, in the case of power-law distributed gates, we find the universality class of the phase transition changes continuously with the parameter controlling the range of interactions. In particular, for intermediate values of the control parameter, we find a non-conformal critical line which separates a phase with volume-law scaling of the entanglement entropy from one with sub-extensive scaling. Within this region, we find the entanglement entropy and the logarithmic negativity present a cross-over from a phase with algebraic growth of entanglement with system size, and an area-law phase.
Cited by 54
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Shraddha Sharma,
- 1 2 3 Xhek Turkeshi,
- 1 4 Rosario Fazio,
- 1 3 Marcello Dalmonte
- 1 Centro Internazionale di Fisica Teorica Abdus Salam / Abdus Salam International Centre for Theoretical Physics [ICTP]
- 2 Collège de France
- 3 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 4 Università degli Studi di Napoli Federico II / University of Naples Federico II
- Agence Nationale de la Recherche [ANR]
- European Research Council [ERC]
- Horizon 2020 (through Organization: European Commission [EC])